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Simplifying -4(2x + 9) + -6(2 + -1x) + 10(2x + 3) = 0 Reorder the terms: -4(9 + 2x) + -6(2 + -1x) + 10(2x + 3) = 0 (9 * -4 + 2x * -4) + -6(2 + -1x) + 10(2x + 3) = 0 (-36 + -8x) + -6(2 + -1x) + 10(2x + 3) = 0 -36 + -8x + (2 * -6 + -1x * -6) + 10(2x + 3) = 0 -36 + -8x + (-12 + 6x) + 10(2x + 3) = 0 Reorder the terms: -36 + -8x + -12 + 6x + 10(3 + 2x) = 0 -36 + -8x + -12 + 6x + (3 * 10 + 2x * 10) = 0 -36 + -8x + -12 + 6x + (30 + 20x) = 0 Reorder the terms: -36 + -12 + 30 + -8x + 6x + 20x = 0 Combine like terms: -36 + -12 = -48 -48 + 30 + -8x + 6x + 20x = 0 Combine like terms: -48 + 30 = -18 -18 + -8x + 6x + 20x = 0 Combine like terms: -8x + 6x = -2x -18 + -2x + 20x = 0 Combine like terms: -2x + 20x = 18x -18 + 18x = 0 Solving -18 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 0 + 18 18x = 0 + 18 Combine like terms: 0 + 18 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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